What is a variable in the expression below?
12+2.6z-2
A) z
B) 2.6
C) -2
A variable is a letter in the equation that can be replaced by a number.
In the equation shown the variable is the letter z.
Answer: A) z
What decimal is 0.77 %
Answer:
0.0077
Step-by-step explanation:
3) The recipe calls for 6 cups of flour for every 2 1/3 cups of sugar. How many cups of flour
are needed per cup of sugar?
Answer:
Im pretty sure its 3 cups
Step-by-step explanation:
Paul was thinking of a number. Paul adds 1.2 to the number the doubles the result to get an answer of 68.3. Form an equation with x from the information
Answer:
(x+1.2)2=68.3
Step-by-step explanation:
(x+1.2)2=68.3
There are 2 pigs, 3 chickens, 4 cows and 5 ducks on a farm. If the farmer wants 3 animals
for a play but only needs one two-legged animal, how many ways can he choose the three animals?
Answer:
6 ways
Step-by-step explanation:
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
The farmer can choose the animal in 6 ways as per different combinations.
Solution to the above problem
The different combinations can be written as follows:
nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time
Since we want 3 animals we can make different pairs as listed below
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
To learn more about combinations refer to:
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Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?
Answer:
$34
Step-by-step explanation:
374/11=34
Answer:
One ticket cost $34
Step-by-step explanation:
Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34
A side of the triangle below has been extended to form an exterior angle of 165º. Find
the value of x.
Answer:
x = 120°
Step-by-step explanation:
the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees
we know two of the three angle measures so we add all three together to find the unknown angle
x + 15 + 45 = 180
x + 60 = 180
x = 120°
Rodolfo has 15 toys in a toy box, and he adds 2 new toys every month. Based on this information , which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passed, x?
Answer: The image listed below. It's the only valid answer that best shows the numbers of toys Roldlfo has in his toy box, y, and the number of months that have passed, x.
Which quadratic equation has roots-8 + 3i and -8 - 3i?
A x^2 - 16x + 73 = 0
B x^2 - 16x + 79 = 0
C x^2 + 16x + 79 = 0
D x^2 + 16x + 73 = 0
The two roots are
[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]
Hence the answer is D.
Unit #2 - Lesson #13 Exit Ticket: A tour company for large groups charges a one time fee of $200 plus an
additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let
n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers
of people who can go on the tour to make it profitable.
Answer:
200+25n>1650
Step-by-step explanation:
200 is the one time fee
25n for $25 per person
> because they must make more than 1650 to be profitable
pls answer fast
Write an equation of the line that passes through (0, -5) and is perpendicular to the line y =-4/5x
Answer:
I am pretty sure its y={5}/{4}x-5
Step-by-step explanation:
A triangle has side lengths of (9d+ 4) centimeters, (9d + 2) centimeters, and (3f - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Perimeter is the sum of the 3 sides.
Add the 3 sides together by combining like terms.
9d +4 + 9d+2 + 3f -2
9d+9d = 18d
4 + 2-2 = 4
Combining like terms you get:
18d +3f +4
A class of 22 students has taken an exam, and the mean of their scores is 76.5. One student takes the
exam late, and scores 92. After including the new score, what is the mean score for all 23 exams? Round
to the nearest hundredth.
A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next. Time and Depth of Submersible
2:15 p. m. 2:16 p. m. 2:17 p. m. 2:18 p. m.
–40 feet 180 feet lower 175 feet lower 185 feet lower
Answer the questions to find the depth of the submersible after 3 minutes.
1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p. m.
Write your answer in the space below.
2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p. m.
Write your answer in the space below.
3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p. m.
Write your answer in the space below.
4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work.
Write your answer in the space below.
Step-by-step explanation:
1. -40 - 180 = -220
2. - 40 - 180 - 175 = -395
3. -395 - 185 = -580
4. starting position of submersible at 2:15 = -40
position at 2:18 = -580
therefore, their distance = -580 -(-40) = -540.
HOPE THIS ANSWER HELPS YOU!
Add. 4 7/12 plus 2 3/4 plus 7 5/12 =
Answer:
12 9/12
Step-by-step explanation:
Answer:
exact form- 59/4
mixed numbers- 14 3/4
decimal- 14.75
Which represents discrete data? Question 17 options: A) The price of hamburger meat per pound B) The volume of water in a swimming pool C) The number of pens in a package D) The speed of a train
Answer: C
Step-by-step explanation:
The Number Of pen in a package.
Answer:
B
Step-by-step explanation:
The number of pins in package
The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:
Let the cost of 1 pencil be £x, and the cost of 1 eraser be £y. Write two linear equations in x and y:
Answer:
see explanation
Step-by-step explanation:
The 2 equations are
x + 2y = 8 → (1)
2x + 4y = 20 → (2)
In the figure below, BD and AC are diameters of circle P.
What is the arc measure of minor arc DC in degrees?
Answer: 19
Step-by-step explanation:
2 lines crossing create 2 pairs of equal angles. The opposite angles are the same. Same goes in a circle.
9514 1404 393
Answer:
arc DC = 19°
Step-by-step explanation:
The acute central angles are vertical angles, so have the same measure. Vertical angles with the same measure intercept arcs with the same measure. The measure of the arc is the measure of the central angle it subtends.
Arc AB = Arc DC = 19°
In which quadrant does the angle t lie if tan(t)>0 and cos(t)<0?
A) II
B) IV
C) Cannot be determined
D) III
E) I
Quadrant is a quarter of a coordinate plane
The location of angle t is in quadrant 3
The trigonometry equations are given as:
tan(t)>0 and cos(t)<0
The cosine of an angle is negative in the following quadrants
Quadrant 2Quadrant 3The cosine of an angle is positive in the following quadrants
Quadrant 3The intersection of the above points is quadrant 3
This means that the angle is in quadrant 3
Hence, the true option is (D) III
Read more about quadrants at:
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The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).
Answer:
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.
Step-by-step explanation:
Can someone write the equation of the line that passes through the points ( -3, 2) and ( -1, 6)? I suck at math and need help.
Answer:
Y=2x+8
Step-by-step explanation:
Plot points on graph and connect with line. Find slope and y intercept
What is the relationship between 2.57×104 and 2.57×10−1 ?
2.57×104 is
Choose:
100
1000
10,000
100,000
1,000,000
times
Choose:
Greater or Less
than 2.57×10−1 .
Answer:
2.57×104= 267.28
2.57×10-1= 24.7
Answer:
2.57x10^4 is 100,000 Greater that 2.57x10^-1
Step-by-step explanation:
2.57x10^4 has a power by 4 which means
10^4 = 10,000
and 2.57x10^-1 has a power by -1 which means
10^-1 = 0,1
therefore 2.57x10^4 is 100,000 Greater that 2.57x10^-1
Hey everyone! Need this question ASAP. Can anybody help me? (Look at photo)
Two relationships are described below: Relationship A: It took 2 people 12 hours to build a deck. It would have taken 3 people 4 hours to build the same deck. Relationship B: Jack earned $24 after 3 hours of work. Then, he earned $40 after 5 hours of work. Which statement is true about these relationships?
Answer:
im pretty sure its b but if its not then i apologise
The sum of two numbers is eight one number is four less than the other find the numbers
Step-by-step explanation:
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
Answer: The answer is 6 and 2
Step-by-step explanation:
X is first number, Y is second
x + x - 4 = 8
2x = 12
x = 6
Y = x - 4
Y = 6 - 4
Y = 2
x = 6
Y = 2
1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?
Answer:
120 : 5 = 24 suy ra 24 x 7,5 = 180
Step-by-step explanation:
What is the equation of this line in slope-intercept form? (-1,5) (1,-1)
y = 3x - 2
y = -1/3x + 2
y = -3x + 2
y = 3x + 2
Answer:
C
Step-by-step explanation:
y=-3x+2
PLEASE HELP PLEASEEEE
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex] - {x}^{3} - 3 {x}^{2} + 4x[/tex]
Can someone answer this for me
Answer:
s=4
Step-by-step explanation:
area of square is side*side
so that means s*s=16
so s = 4
simplify 4y(4y-4)-4(-4y+5+4y2)
A triangle has sides with lengths of 2 centimeters, 4 centimeters, and 5 centimeters. Is it a right triangle?
PLEASE HELP
Answer:
NoStep-by-step explanation:
Use Pythagorean to verify:
2² + 4² = 5² 4 + 16 = 2520 = 25As we see the equation is not true, so the answer is no
Let's use Pythagorean theorem to verify
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto 5^2=4^2+2^2[/tex]
[tex]\\ \sf\longmapsto 25=16+4[/tex]
[tex]\\ \sf\longmapsto 25\neq 20[/tex]
Not a right triangle